On Discrete Fractional Integral Inequalities for a Class of Functions by Saima Rashid, Hijaz Ahmad, Aasma Khalid, Yu-Ming Chu

“…This research article aims to investigate the consequences in the frame of the discrete proportional fractional operator. ℏ-discrete exponential functions are assumed in the kernel of the novel generalized fractional sum defined on the time scale ℏℤ. …”
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A Phenomenological Interpretation of Two-Step Adsorption Kinetics of Humic Acids on Zeolitic Tuff by Luigi Ambrosone, Silvana Canzano, Pasquale Iovino, Stefano Salvestrini, Sante Capasso, Carmine Colella

“…The first stage is a first-order kinetics with characteristic lifetime of 1–2 days, whereas the second stage is a Johnson–Mehl–Avrami function with (t m ) in the exponential and slower characteristic lifetime.…”
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A Novel Proprietary Internet Video Traffic Dataset Generation Algorithm by Tianhua Chen, Elans Grabs, Aleksandrs Ipatovs, Maria-Dolores Cano

“…Considering the exponential growth of network traffic, particularly driven by over-the-top (OTT) streaming applications, video category network traffic constitutes a significant portion of overall network traffic. …”
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Pattern Recognition of Signals for the Fault-Slip Type of Rock Burst in Coal Mines by X. S. Liu, J. Tan, Y. L. Tan, S. C. Hu

“…Then, the patterns of the electromagnetic radiation, acoustic emission (AE), and microseismic signals in the fault-slip type of rock burst were proposed, in that before the rock burst occurs, the electromagnetic radiation intensity near the sliding surface increases rapidly, the AE energy rises exponentially, and the energy released by microseismic events experiences at least one peak and is close to the next peak. …”
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Real-time Defense Against Cyber Threats: Analyzing Wazuh's Effectiveness in Server Monitoring by Alde Alanda, H.A Mooduto, Ronal Hadi

“… As cloud computing grows exponentially, organizations face escalating cybersecurity challenges due to increased cyber threats and attacks on cloud-based networks. …”
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On the Effect of Estimation Error for the Risk-Adjusted Charts by Sajid Ali, Naila Altaf, Ismail Shah, Lichen Wang, Syed Muhammad Muslim Raza

“…To be more precise, risk-adjusted Cumulative Sum (CUSUM) and Exponentially Weighted Moving Average (EWMA) charts are used to evaluate the impact of the estimation error. …”
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Sentiment Analysis of PeduliLindungi User Using Naïve Bayes Classifier Algorithm and Support Vector Machine by Rizki Rahmatullah, Jundi Nourfateha Elquthb, Fanya Nindha Al-Qurani, Annisa Uswatun Khasanah

“…The Indonesian government is attempting to track the spread of the virus by creating an application named “PeduliLindungi” to deal with the coronavirus's exponential increase in cases across the country. Because it has a feature to disclose the user's location immediately, it is envisaged that this program can reduce the transmission of viruses in monitoring. …”
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The evolution of electric and hybrid vehicles and their influence on sustainable transport: A review and future research lines by Alberto-Tomas Delso-Vicente, Marisol-Carvajal Camperos, Margarita Almonacid-Durán

“…The analysis of the literature highlights the exponential growth of charging infrastructure and technological progress in lithium batteries, while underscoring persistent challenges related to standardisation and sustainability. …”
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Novel analytical superposed nonlinear wave structures for the eighth-order (3+1)-dimensional Kac-Wakimoto equation using improved modified extended tanh function method by Wafaa B. Rabie, Hamdy M. Ahmed, Taher A. Nofal, E. M. Mohamed

“…As a consequence, through the donation of suitable assumptions for the parameters, some new solutions for dark and singular soliton, as well as Jacobi elliptic, exponential, hyperbolic, and singular periodic forms, are developed. …”
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Regression Cloud Models and Their Applications in Energy Consumption of Data Center by Yanshuang Zhou, Na Li, Hong Li, Yongqiang Zhang

“…The experiments show that linear regression model is good enough to model performance counters, nonlinear regression is better than linear regression model for modeling system utilization, and support vector regression model is better than polynomial and exponential regression models.…”
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Moisture Content on Methane Desorption Characteristics in Coal and Its Effect on Outburst Prediction by Peng Li, Yaolin Cao, Xuelong Li, Fakai Wang, Zhongguang Sun, Qinke Huang, Deyou Chen

“…Experiments show that coal with low water content and methane outburst is more dangerous than coal with high water content and outburst; and the degree of outburst of coal and methane decreases exponentially with the increase of moisture content.…”
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Damage Features of Altered Rock Subjected to Drying-Wetting Cycles by Zhe Qin, Xuxin Chen, Houli Fu

“…The quantitative relationship between the mechanical parameters and the number of dry/wet cycles was indicated by an exponential function. In addition to uniaxial testing, cohesion and the internal friction angle were determined through triaxial testing. …”
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Calculation of Tooth Root Bending Fatigue Life with Considering the Influence of Roughness Parameter R_a by He Di, Tang Jinyuan, Li Guowen, Zhou Wei

“…The risk area of tooth root is obtained by finite element analysis.The risk area of the tooth root is measured by the white light interferometer, the statistical distribution parameters and the exponential autocorrelation function is obtained according to the surface topography,and using them to reconstruct the surface topography needed for the finite element calculation. …”
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Charbonnier Quasi Hyperbolic Momentum Spline Based Incremental Strategy for Nonlinear Distributed Active Noise Control by Rajapantula Kranthi, Vasundhara, Asutosh Kar, Mads Grasboll Christensen

“…In such environments, functional link neural network (FLN) and adaptive exponential FLN techniques improve the performance of distributed active noise control systems. …”
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Plasmonic-Resonant Bowtie Antenna for Carbon Nanotube Photodetectors by Hongzhi Chen, Ning Xi, King Wai Chiu Lai, Liangliang Chen, Carmen Kar Man Fung, Jianyong Lou

“…It is shown that the electric field intensity enhancement increased exponentially with distance reduction between the CNT photodetector to the antenna. …”
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Simulation of Particle-Fluid Interaction in Fractal Fractures Based on the Immersed Boundary-Lattice Boltzmann Method by Shenggui Liu, Songlei Tang, Jinkuang Huang, Mindong Lv, Yingjun Li

“…Increasing fracture fractal dimension surges the curvature of the fluid channel, but permeability has a negative exponential correlation to fractal dimension. With increasing particle grading composition, the blocking effect of particles on fracture flow also increases with increasing particle proportion.…”
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New Link Functions for Distribution–Specific Quantile Regression Based on Vector Generalized Linear and Additive Models by V. F. Miranda-Soberanis, T. W. Yee

“…Our parametric quantile regression approach adopts VGLMs/VGAMs because they can handle multiple linear predictors and encompass many distributions beyond the exponential family. Coupled with the ability to fit smoothers, the underlying strong assumption of the distribution can be relaxed so as to offer a semiparametric–type analysis. …”
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Cumulative damage characteristics of tunnel initial support concrete under blasting load by Yan Zhao, Zhuang Zhang, Lijie Ge, Lingling Xu, Huadong Zhao, Mingzan Yu

“…The numerical analysis results show that there is a good exponential function relationship between the cumulative damage range R cr and the corresponding critical blasting vibration velocity PPV cr . …”
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Elasticity Solutions for Sandwich Arches considering Permeation Effect of Adhesive by Ruili Huo, Yichen Liu, Peng Wu, Hai Fang, Weiqing Liu, Ding Zhou

“…The permeation layer is described by the functionally graded material, exponentially graded in the radial direction. The stresses and deformations of each layer are based on the two-dimensional (2D) elasticity theory in the polar coordinate. …”
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Fixed-Time Sliding Mode Control for Robotic Manipulators Based on Disturbance Observer by Tianli Li, Gang Zhang, Tan Zhang, Jing Pan

“…An FTSM control strategy is presented where the integral terms of position errors are introduced into the existing sliding mode surface (SMS) to reduce the steady-state error of the system. The exponential form in the integral terms can provide an appropriate control force for tracking systems when the position errors are far from the sliding surface for a long time. …”
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